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JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    The length of the latus rectum of the parabola \[{{x}^{2}}-4x-8y+12=0\] is        [MP PET 2000]

    A)            4     

    B)            6

    C)            8     

    D)            10

    Correct Answer: C

    Solution :

               The given equation of parabola is \[{{x}^{2}}-4x-8y+12=0\]                    \[\Rightarrow \]            \[{{x}^{2}}-4x=8y-12\] \[\Rightarrow \]\[{{(x-2)}^{2}}=8(y-1)\]                    Hence the length of latus rectum =\[4a=8\].


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